Harmonic Relationships

Harmonic relationships refer to the musical intervals that sound pleasant and stable when two or more notes are played together, based on simple ratios between their frequencies. For example, the octave has a 2:1 ratio, meaning one note vibrates twice as fast as the other. These relationships create consonance, which is why certain chords and intervals feel harmonious. Understanding harmonic relationships helps musicians craft melodies and harmonies that are pleasing to the ear, as they align with natural mathematical patterns in sound frequencies.